Atkin-Lehner |
2- 3+ 5+ 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
76560be |
Isogeny class |
Conductor |
76560 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
601344 |
Modular degree for the optimal curve |
Δ |
-238132224000 = -1 · 213 · 36 · 53 · 11 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 11- -4 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1142696,-469777680] |
[a1,a2,a3,a4,a6] |
Generators |
[865730902:230903371494:12167] |
Generators of the group modulo torsion |
j |
-40286196399588268969/58137750 |
j-invariant |
L |
4.4131079008705 |
L(r)(E,1)/r! |
Ω |
0.073010756856331 |
Real period |
R |
15.111156526623 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002124 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9570f1 |
Quadratic twists by: -4 |